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42585771870 = 235533015309
BaseRepresentation
bin100111101010010011…
…110100111101011110
311001220212122100200000
4213222103310331132
51144203424144440
631321424515130
73035213042205
oct475223647536
9131825570600
1042585771870
1117073615794
128305a7baa6
1340289b32a5
1420bdb8823c
151193a06730
hex9ea4f4f5e

42585771870 has 96 divisors (see below), whose sum is σ = 114880278240. Its totient is φ = 11350627200.

The previous prime is 42585771857. The next prime is 42585771871. The reversal of 42585771870 is 7817758524.

42585771870 is a `hidden beast` number, since 4 + 2 + 58 + 577 + 18 + 7 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42585771871) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8018776 + ... + 8024084.

It is an arithmetic number, because the mean of its divisors is an integer number (1196669565).

Almost surely, 242585771870 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42585771870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57440139120).

42585771870 is an abundant number, since it is smaller than the sum of its proper divisors (72294506370).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42585771870 is a wasteful number, since it uses less digits than its factorization.

42585771870 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8632 (or 8620 counting only the distinct ones).

The product of its (nonzero) digits is 4390400, while the sum is 54.

The spelling of 42585771870 in words is "forty-two billion, five hundred eighty-five million, seven hundred seventy-one thousand, eight hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 243 270 405 486 810 1215 2430 3301 5309 6602 9903 10618 15927 16505 19806 26545 29709 31854 33010 47781 49515 53090 59418 79635 89127 95562 99030 143343 148545 159270 178254 238905 267381 286686 297090 430029 445635 477810 534762 716715 802143 860058 891270 1290087 1336905 1433430 1604286 2150145 2580174 2673810 4010715 4300290 6450435 8021430 12900870 17525009 35050018 52575027 87625045 105150054 157725081 175250090 262875135 315450162 473175243 525750270 788625405 946350486 1419525729 1577250810 2365876215 2839051458 4258577187 4731752430 7097628645 8517154374 14195257290 21292885935 42585771870